What is the domain of f(x)=(5x+5)/(9+2x) ?

The domain of f(x)=(5x+5)/(9+2x) is x -9/2

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domain of f(x)=(5x+5)/(9+2x)

domain

f (x) = \frac{5 x + 5}{9 + 2 x}

x < - \frac{9}{2} or x > - \frac{9}{2}

Interval Notation

(- \infty, - \frac{9}{2}) \cup (- \frac{9}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{9}{2}

The function domain

x < - \frac{9}{2} or x > - \frac{9}{2}

f (x) = \frac{- 12}{x}

g (x) = ln (4 - x)

\frac{2 x - 1}{x - 2}

f (x) = \frac{11}{11 - 3 x}

y = 4 tan (2 x + \frac{π}{3}) - 1

What is the domain of f(x)=(5x+5)/(9+2x) ?
The domain of f(x)=(5x+5)/(9+2x) is x<-9/2 \lor x>-9/2